Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N00: Poster Session II (11:30am-2:30pm CST)
11:30 AM,
Wednesday, March 6, 2024
Room: Hall BC
Sponsoring
Unit:
APS/SPS
Abstract: N00.00302 : Pattern Formation in Mathematical Billiards with Spatial Memory
Presenter:
Maziyar Jalaal
(University of Amsterdam)
Authors:
Thijs Albers
(University of Amsterdam)
Stijn Delnoij
(University of Amsterdam)
Nico Schramma
(University of Amsterdam)
Maziyar Jalaal
(University of Amsterdam)
pattern formation. It has been proposed that spatial memory can lead to more efficient navigation and
collective behaviour in biological systems and influence the fate of synthetic systems. This raises important
questions about the fundamental properties of dynamical systems with spatial memory. We present a
framework based on mathematical billiards in which particles remember their past trajectories and react to
them. Despite the simplicity of its fundamental deterministic rules, such a system is strongly non-ergodic
and exhibits highly intermittent statistics, manifesting in complex pattern formation. We show how these
self-memory-induced complexities emerge from the temporal change of topology and the consequent chaos in
the system. We study the billiards' fundamental properties, particularly the long-time behaviour
when the particles are self-trapped in an arrested state. We exploit numerical simulations of several millions
of particles to explore pattern formation and the corresponding statistics in polygonal billiards of different
geometries. Our work illustrates how the dynamics of a single-body system can dramatically change when
particles feature spatial memory and provide a scheme to explore systems with complex memory
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700